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Finding the Fourth Proportional to 355.13, 530.84 and 308.49

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Solution

The fourth proportional to 355.13, 530.84 and 308.49 is: 461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.13 : 530.84 = 308.49 : x
  2. Step 2: Convert to fraction form
    355.13/530.84 = 308.49/x
  3. Step 3: Cross multiply
    355.13x = 530.84 × 308.49
  4. Step 4: Simplify right side
    355.13x = 163,758.86
  5. Step 5: Solve for x
    x = 163,758.86/355.13
  6. Step 6: Final answer
    x = 461.12

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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.