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Finding the Fourth Proportional to 160.17, 241.71 and 154.74

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Solution

The fourth proportional to 160.17, 241.71 and 154.74 is: 233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 241.71 = 154.74 : x
  2. Step 2: Convert to fraction form
    160.17/241.71 = 154.74/x
  3. Step 3: Cross multiply
    160.17x = 241.71 × 154.74
  4. Step 4: Simplify right side
    160.17x = 37,402.21
  5. Step 5: Solve for x
    x = 37,402.21/160.17
  6. Step 6: Final answer
    x = 233.52

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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.