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Finding the Fourth Proportional to 242.02, 334.20 and 184.06

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Solution

The fourth proportional to 242.02, 334.20 and 184.06 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 334.20 = 184.06 : x
  2. Step 2: Convert to fraction form
    242.02/334.20 = 184.06/x
  3. Step 3: Cross multiply
    242.02x = 334.20 × 184.06
  4. Step 4: Simplify right side
    242.02x = 61,512.85
  5. Step 5: Solve for x
    x = 61,512.85/242.02
  6. Step 6: Final answer
    x = 254.16

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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.