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Finding the Fourth Proportional to 250.32, 345.66 and 242.16

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Solution

The fourth proportional to 250.32, 345.66 and 242.16 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.32 : 345.66 = 242.16 : x
  2. Step 2: Convert to fraction form
    250.32/345.66 = 242.16/x
  3. Step 3: Cross multiply
    250.32x = 345.66 × 242.16
  4. Step 4: Simplify right side
    250.32x = 83,705.03
  5. Step 5: Solve for x
    x = 83,705.03/250.32
  6. Step 6: Final answer
    x = 334.39

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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.