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Finding the Fourth Proportional to 157.78, 235.40 and 155.35

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Solution

The fourth proportional to 157.78, 235.40 and 155.35 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 235.40 = 155.35 : x
  2. Step 2: Convert to fraction form
    157.78/235.40 = 155.35/x
  3. Step 3: Cross multiply
    157.78x = 235.40 × 155.35
  4. Step 4: Simplify right side
    157.78x = 36,569.39
  5. Step 5: Solve for x
    x = 36,569.39/157.78
  6. Step 6: Final answer
    x = 231.77

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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.