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Finding the Fourth Proportional to 401.54, 602.08 and 157.78

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Solution

The fourth proportional to 401.54, 602.08 and 157.78 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.54 : 602.08 = 157.78 : x
  2. Step 2: Convert to fraction form
    401.54/602.08 = 157.78/x
  3. Step 3: Cross multiply
    401.54x = 602.08 × 157.78
  4. Step 4: Simplify right side
    401.54x = 94,996.18
  5. Step 5: Solve for x
    x = 94,996.18/401.54
  6. Step 6: Final answer
    x = 236.58

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Why These Related Problems?

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