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Finding the Fourth Proportional to 160.77, 242.53 and 154.39

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Solution

The fourth proportional to 160.77, 242.53 and 154.39 is: 232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 242.53 = 154.39 : x
  2. Step 2: Convert to fraction form
    160.77/242.53 = 154.39/x
  3. Step 3: Cross multiply
    160.77x = 242.53 × 154.39
  4. Step 4: Simplify right side
    160.77x = 37,444.21
  5. Step 5: Solve for x
    x = 37,444.21/160.77
  6. Step 6: Final answer
    x = 232.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.