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Finding the Fourth Proportional to 407.56, 612.11 and 253.77

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Solution

The fourth proportional to 407.56, 612.11 and 253.77 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.56 : 612.11 = 253.77 : x
  2. Step 2: Convert to fraction form
    407.56/612.11 = 253.77/x
  3. Step 3: Cross multiply
    407.56x = 612.11 × 253.77
  4. Step 4: Simplify right side
    407.56x = 155,335.79
  5. Step 5: Solve for x
    x = 155,335.79/407.56
  6. Step 6: Final answer
    x = 381.14

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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.