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Finding the Fourth Proportional to 453.61, 625.76 and 278.65

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Solution

The fourth proportional to 453.61, 625.76 and 278.65 is: 384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.61 : 625.76 = 278.65 : x
  2. Step 2: Convert to fraction form
    453.61/625.76 = 278.65/x
  3. Step 3: Cross multiply
    453.61x = 625.76 × 278.65
  4. Step 4: Simplify right side
    453.61x = 174,366.11
  5. Step 5: Solve for x
    x = 174,366.11/453.61
  6. Step 6: Final answer
    x = 384.40

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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.