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Finding the Fourth Proportional to 184.98, 255.76 and 152.18

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Solution

The fourth proportional to 184.98, 255.76 and 152.18 is: 210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.98 : 255.76 = 152.18 : x
  2. Step 2: Convert to fraction form
    184.98/255.76 = 152.18/x
  3. Step 3: Cross multiply
    184.98x = 255.76 × 152.18
  4. Step 4: Simplify right side
    184.98x = 38,920.86
  5. Step 5: Solve for x
    x = 38,920.86/184.98
  6. Step 6: Final answer
    x = 210.40

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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.