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Finding the Fourth Proportional to 407.30, 562.07 and 276.35

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Solution

The fourth proportional to 407.30, 562.07 and 276.35 is: 381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 562.07 = 276.35 : x
  2. Step 2: Convert to fraction form
    407.30/562.07 = 276.35/x
  3. Step 3: Cross multiply
    407.30x = 562.07 × 276.35
  4. Step 4: Simplify right side
    407.30x = 155,325.93
  5. Step 5: Solve for x
    x = 155,325.93/407.30
  6. Step 6: Final answer
    x = 381.36

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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.