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Finding the Fourth Proportional to 157.66, 237.03 and 145.78

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Solution

The fourth proportional to 157.66, 237.03 and 145.78 is: 219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.66 : 237.03 = 145.78 : x
  2. Step 2: Convert to fraction form
    157.66/237.03 = 145.78/x
  3. Step 3: Cross multiply
    157.66x = 237.03 × 145.78
  4. Step 4: Simplify right side
    157.66x = 34,554.23
  5. Step 5: Solve for x
    x = 34,554.23/157.66
  6. Step 6: Final answer
    x = 219.17

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