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Finding the Fourth Proportional to 160.42, 242.09 and 154.99

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Solution

The fourth proportional to 160.42, 242.09 and 154.99 is: 233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 242.09 = 154.99 : x
  2. Step 2: Convert to fraction form
    160.42/242.09 = 154.99/x
  3. Step 3: Cross multiply
    160.42x = 242.09 × 154.99
  4. Step 4: Simplify right side
    160.42x = 37,521.53
  5. Step 5: Solve for x
    x = 37,521.53/160.42
  6. Step 6: Final answer
    x = 233.90

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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.