Home / 210.24-314.80-173.92

Finding the Fourth Proportional to 210.24, 314.80 and 173.92

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Solution

The fourth proportional to 210.24, 314.80 and 173.92 is: 260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 314.80 = 173.92 : x
  2. Step 2: Convert to fraction form
    210.24/314.80 = 173.92/x
  3. Step 3: Cross multiply
    210.24x = 314.80 × 173.92
  4. Step 4: Simplify right side
    210.24x = 54,750.02
  5. Step 5: Solve for x
    x = 54,750.02/210.24
  6. Step 6: Final answer
    x = 260.42

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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.