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Finding the Fourth Proportional to 407.78, 562.85 and 242.06

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Solution

The fourth proportional to 407.78, 562.85 and 242.06 is: 334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.78 : 562.85 = 242.06 : x
  2. Step 2: Convert to fraction form
    407.78/562.85 = 242.06/x
  3. Step 3: Cross multiply
    407.78x = 562.85 × 242.06
  4. Step 4: Simplify right side
    407.78x = 136,240.35
  5. Step 5: Solve for x
    x = 136,240.35/407.78
  6. Step 6: Final answer
    x = 334.10

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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.