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Finding the Fourth Proportional to 157.50, 235.50 and 143.72

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Solution

The fourth proportional to 157.50, 235.50 and 143.72 is: 214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 235.50 = 143.72 : x
  2. Step 2: Convert to fraction form
    157.50/235.50 = 143.72/x
  3. Step 3: Cross multiply
    157.50x = 235.50 × 143.72
  4. Step 4: Simplify right side
    157.50x = 33,844.61
  5. Step 5: Solve for x
    x = 33,844.61/157.50
  6. Step 6: Final answer
    x = 214.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.