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Finding the Fourth Proportional to 345.74, 521.32 and 317.04

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Solution

The fourth proportional to 345.74, 521.32 and 317.04 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 521.32 = 317.04 : x
  2. Step 2: Convert to fraction form
    345.74/521.32 = 317.04/x
  3. Step 3: Cross multiply
    345.74x = 521.32 × 317.04
  4. Step 4: Simplify right side
    345.74x = 165,279.29
  5. Step 5: Solve for x
    x = 165,279.29/345.74
  6. Step 6: Final answer
    x = 478.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.