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Finding the Fourth Proportional to 334.85, 462.07 and 187.50

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Solution

The fourth proportional to 334.85, 462.07 and 187.50 is: 258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.85 : 462.07 = 187.50 : x
  2. Step 2: Convert to fraction form
    334.85/462.07 = 187.50/x
  3. Step 3: Cross multiply
    334.85x = 462.07 × 187.50
  4. Step 4: Simplify right side
    334.85x = 86,638.13
  5. Step 5: Solve for x
    x = 86,638.13/334.85
  6. Step 6: Final answer
    x = 258.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.