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Finding the Fourth Proportional to 385.10, 530.16 and 286.70

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Solution

The fourth proportional to 385.10, 530.16 and 286.70 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 530.16 = 286.70 : x
  2. Step 2: Convert to fraction form
    385.10/530.16 = 286.70/x
  3. Step 3: Cross multiply
    385.10x = 530.16 × 286.70
  4. Step 4: Simplify right side
    385.10x = 151,996.87
  5. Step 5: Solve for x
    x = 151,996.87/385.10
  6. Step 6: Final answer
    x = 394.69

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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.