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Finding the Fourth Proportional to 385.14, 530.88 and 315.08

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Solution

The fourth proportional to 385.14, 530.88 and 315.08 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 530.88 = 315.08 : x
  2. Step 2: Convert to fraction form
    385.14/530.88 = 315.08/x
  3. Step 3: Cross multiply
    385.14x = 530.88 × 315.08
  4. Step 4: Simplify right side
    385.14x = 167,267.02
  5. Step 5: Solve for x
    x = 167,267.02/385.14
  6. Step 6: Final answer
    x = 434.30

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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.