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Finding the Fourth Proportional to 157.76, 235.57 and 128.93

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Solution

The fourth proportional to 157.76, 235.57 and 128.93 is: 192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 235.57 = 128.93 : x
  2. Step 2: Convert to fraction form
    157.76/235.57 = 128.93/x
  3. Step 3: Cross multiply
    157.76x = 235.57 × 128.93
  4. Step 4: Simplify right side
    157.76x = 30,371.02
  5. Step 5: Solve for x
    x = 30,371.02/157.76
  6. Step 6: Final answer
    x = 192.52

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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.