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Finding the Fourth Proportional to 385.26, 530.88 and 286.80

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Solution

The fourth proportional to 385.26, 530.88 and 286.80 is: 395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.26 : 530.88 = 286.80 : x
  2. Step 2: Convert to fraction form
    385.26/530.88 = 286.80/x
  3. Step 3: Cross multiply
    385.26x = 530.88 × 286.80
  4. Step 4: Simplify right side
    385.26x = 152,256.38
  5. Step 5: Solve for x
    x = 152,256.38/385.26
  6. Step 6: Final answer
    x = 395.20

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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.