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Finding the Fourth Proportional to 242.29, 334.26 and 153.76

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Solution

The fourth proportional to 242.29, 334.26 and 153.76 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.29 : 334.26 = 153.76 : x
  2. Step 2: Convert to fraction form
    242.29/334.26 = 153.76/x
  3. Step 3: Cross multiply
    242.29x = 334.26 × 153.76
  4. Step 4: Simplify right side
    242.29x = 51,395.82
  5. Step 5: Solve for x
    x = 51,395.82/242.29
  6. Step 6: Final answer
    x = 212.13

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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.