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Finding the Fourth Proportional to 268.24, 402.42 and 152.74

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Solution

The fourth proportional to 268.24, 402.42 and 152.74 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.24 : 402.42 = 152.74 : x
  2. Step 2: Convert to fraction form
    268.24/402.42 = 152.74/x
  3. Step 3: Cross multiply
    268.24x = 402.42 × 152.74
  4. Step 4: Simplify right side
    268.24x = 61,465.63
  5. Step 5: Solve for x
    x = 61,465.63/268.24
  6. Step 6: Final answer
    x = 229.14

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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.