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Finding the Fourth Proportional to 157.80, 235.32 and 154.02

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Solution

The fourth proportional to 157.80, 235.32 and 154.02 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 235.32 = 154.02 : x
  2. Step 2: Convert to fraction form
    157.80/235.32 = 154.02/x
  3. Step 3: Cross multiply
    157.80x = 235.32 × 154.02
  4. Step 4: Simplify right side
    157.80x = 36,243.99
  5. Step 5: Solve for x
    x = 36,243.99/157.80
  6. Step 6: Final answer
    x = 229.68

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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.