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Finding the Fourth Proportional to 265.71, 398.28 and 101.10

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Solution

The fourth proportional to 265.71, 398.28 and 101.10 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.71 : 398.28 = 101.10 : x
  2. Step 2: Convert to fraction form
    265.71/398.28 = 101.10/x
  3. Step 3: Cross multiply
    265.71x = 398.28 × 101.10
  4. Step 4: Simplify right side
    265.71x = 40,266.11
  5. Step 5: Solve for x
    x = 40,266.11/265.71
  6. Step 6: Final answer
    x = 151.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.