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Finding the Fourth Proportional to 402.10, 602.52 and 170.93

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Solution

The fourth proportional to 402.10, 602.52 and 170.93 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.10 : 602.52 = 170.93 : x
  2. Step 2: Convert to fraction form
    402.10/602.52 = 170.93/x
  3. Step 3: Cross multiply
    402.10x = 602.52 × 170.93
  4. Step 4: Simplify right side
    402.10x = 102,988.74
  5. Step 5: Solve for x
    x = 102,988.74/402.10
  6. Step 6: Final answer
    x = 256.13

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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.