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Finding the Fourth Proportional to 265.65, 398.78 and 143.91

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Solution

The fourth proportional to 265.65, 398.78 and 143.91 is: 216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 398.78 = 143.91 : x
  2. Step 2: Convert to fraction form
    265.65/398.78 = 143.91/x
  3. Step 3: Cross multiply
    265.65x = 398.78 × 143.91
  4. Step 4: Simplify right side
    265.65x = 57,387.71
  5. Step 5: Solve for x
    x = 57,387.71/265.65
  6. Step 6: Final answer
    x = 216.03

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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.