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Finding the Fourth Proportional to 157.52, 235.04 and 146

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Solution

The fourth proportional to 157.52, 235.04 and 146 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 235.04 = 146 : x
  2. Step 2: Convert to fraction form
    157.52/235.04 = 146/x
  3. Step 3: Cross multiply
    157.52x = 235.04 × 146
  4. Step 4: Simplify right side
    157.52x = 34,315.84
  5. Step 5: Solve for x
    x = 34,315.84/157.52
  6. Step 6: Final answer
    x = 217.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.