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Finding the Fourth Proportional to 474.16, 655.17 and 342.94

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Solution

The fourth proportional to 474.16, 655.17 and 342.94 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.16 : 655.17 = 342.94 : x
  2. Step 2: Convert to fraction form
    474.16/655.17 = 342.94/x
  3. Step 3: Cross multiply
    474.16x = 655.17 × 342.94
  4. Step 4: Simplify right side
    474.16x = 224,684.00
  5. Step 5: Solve for x
    x = 224,684.00/474.16
  6. Step 6: Final answer
    x = 473.86

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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.