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Finding the Fourth Proportional to 157.61, 237.24 and 143.77

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Solution

The fourth proportional to 157.61, 237.24 and 143.77 is: 216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.61 : 237.24 = 143.77 : x
  2. Step 2: Convert to fraction form
    157.61/237.24 = 143.77/x
  3. Step 3: Cross multiply
    157.61x = 237.24 × 143.77
  4. Step 4: Simplify right side
    157.61x = 34,106.81
  5. Step 5: Solve for x
    x = 34,106.81/157.61
  6. Step 6: Final answer
    x = 216.40

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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.