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Finding the Fourth Proportional to 562.30, 842.70 and 254.10

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Solution

The fourth proportional to 562.30, 842.70 and 254.10 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.30 : 842.70 = 254.10 : x
  2. Step 2: Convert to fraction form
    562.30/842.70 = 254.10/x
  3. Step 3: Cross multiply
    562.30x = 842.70 × 254.10
  4. Step 4: Simplify right side
    562.30x = 214,130.07
  5. Step 5: Solve for x
    x = 214,130.07/562.30
  6. Step 6: Final answer
    x = 380.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.