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Finding the Fourth Proportional to 160.95, 242.58 and 152.85

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Solution

The fourth proportional to 160.95, 242.58 and 152.85 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 242.58 = 152.85 : x
  2. Step 2: Convert to fraction form
    160.95/242.58 = 152.85/x
  3. Step 3: Cross multiply
    160.95x = 242.58 × 152.85
  4. Step 4: Simplify right side
    160.95x = 37,078.35
  5. Step 5: Solve for x
    x = 37,078.35/160.95
  6. Step 6: Final answer
    x = 230.37

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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.