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Finding the Fourth Proportional to 610.10, 841.92 and 358.08

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Solution

The fourth proportional to 610.10, 841.92 and 358.08 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 841.92 = 358.08 : x
  2. Step 2: Convert to fraction form
    610.10/841.92 = 358.08/x
  3. Step 3: Cross multiply
    610.10x = 841.92 × 358.08
  4. Step 4: Simplify right side
    610.10x = 301,474.71
  5. Step 5: Solve for x
    x = 301,474.71/610.10
  6. Step 6: Final answer
    x = 494.14

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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.