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Finding the Fourth Proportional to 184.95, 254.05 and 152.19

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Solution

The fourth proportional to 184.95, 254.05 and 152.19 is: 209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 254.05 = 152.19 : x
  2. Step 2: Convert to fraction form
    184.95/254.05 = 152.19/x
  3. Step 3: Cross multiply
    184.95x = 254.05 × 152.19
  4. Step 4: Simplify right side
    184.95x = 38,663.49
  5. Step 5: Solve for x
    x = 38,663.49/184.95
  6. Step 6: Final answer
    x = 209.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.