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Finding the Fourth Proportional to 40.69, 56.14 and 25.14

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Solution

The fourth proportional to 40.69, 56.14 and 25.14 is: 34.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.69 : 56.14 = 25.14 : x
  2. Step 2: Convert to fraction form
    40.69/56.14 = 25.14/x
  3. Step 3: Cross multiply
    40.69x = 56.14 × 25.14
  4. Step 4: Simplify right side
    40.69x = 1,411.51
  5. Step 5: Solve for x
    x = 1,411.51/40.69
  6. Step 6: Final answer
    x = 34.69

Related Problems

Find fourth proportional to 20.35, 28.07 and 12.57
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.