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Finding the Fourth Proportional to 355.38, 530.31 and 309.66

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Solution

The fourth proportional to 355.38, 530.31 and 309.66 is: 462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.38 : 530.31 = 309.66 : x
  2. Step 2: Convert to fraction form
    355.38/530.31 = 309.66/x
  3. Step 3: Cross multiply
    355.38x = 530.31 × 309.66
  4. Step 4: Simplify right side
    355.38x = 164,215.79
  5. Step 5: Solve for x
    x = 164,215.79/355.38
  6. Step 6: Final answer
    x = 462.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.