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Finding the Fourth Proportional to 624.77, 937.21 and 186.02

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Solution

The fourth proportional to 624.77, 937.21 and 186.02 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.77 : 937.21 = 186.02 : x
  2. Step 2: Convert to fraction form
    624.77/937.21 = 186.02/x
  3. Step 3: Cross multiply
    624.77x = 937.21 × 186.02
  4. Step 4: Simplify right side
    624.77x = 174,339.80
  5. Step 5: Solve for x
    x = 174,339.80/624.77
  6. Step 6: Final answer
    x = 279.05

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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.