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Finding the Fourth Proportional to 373.51, 559.78 and 178.58

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Solution

The fourth proportional to 373.51, 559.78 and 178.58 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.51 : 559.78 = 178.58 : x
  2. Step 2: Convert to fraction form
    373.51/559.78 = 178.58/x
  3. Step 3: Cross multiply
    373.51x = 559.78 × 178.58
  4. Step 4: Simplify right side
    373.51x = 99,962.27
  5. Step 5: Solve for x
    x = 99,962.27/373.51
  6. Step 6: Final answer
    x = 267.63

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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.