Home / 468-702.16-164

Finding the Fourth Proportional to 468, 702.16 and 164

Calculator

Solution

The fourth proportional to 468, 702.16 and 164 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 702.16 = 164 : x
  2. Step 2: Convert to fraction form
    468/702.16 = 164/x
  3. Step 3: Cross multiply
    468x = 702.16 × 164
  4. Step 4: Simplify right side
    468x = 115,154.24
  5. Step 5: Solve for x
    x = 115,154.24/468
  6. Step 6: Final answer
    x = 246.06

Related Problems

Find fourth proportional to 234, 351.08 and 82
Half scale
Find fourth proportional to 936, 1,404.32 and 328
Double scale
Find fourth proportional to 469, 703.66 and 165
Similar ratio
Find fourth proportional to 702, 1,053.24 and 246
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.