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Finding the Fourth Proportional to 355.75, 530.53 and 316.42

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Solution

The fourth proportional to 355.75, 530.53 and 316.42 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 530.53 = 316.42 : x
  2. Step 2: Convert to fraction form
    355.75/530.53 = 316.42/x
  3. Step 3: Cross multiply
    355.75x = 530.53 × 316.42
  4. Step 4: Simplify right side
    355.75x = 167,870.30
  5. Step 5: Solve for x
    x = 167,870.30/355.75
  6. Step 6: Final answer
    x = 471.88

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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.