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Finding the Fourth Proportional to 265.74, 398.70 and 144.06

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Solution

The fourth proportional to 265.74, 398.70 and 144.06 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 398.70 = 144.06 : x
  2. Step 2: Convert to fraction form
    265.74/398.70 = 144.06/x
  3. Step 3: Cross multiply
    265.74x = 398.70 × 144.06
  4. Step 4: Simplify right side
    265.74x = 57,436.72
  5. Step 5: Solve for x
    x = 57,436.72/265.74
  6. Step 6: Final answer
    x = 216.14

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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.