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Finding the Fourth Proportional to 462.24, 637.77 and 275.65

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Solution

The fourth proportional to 462.24, 637.77 and 275.65 is: 380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 637.77 = 275.65 : x
  2. Step 2: Convert to fraction form
    462.24/637.77 = 275.65/x
  3. Step 3: Cross multiply
    462.24x = 637.77 × 275.65
  4. Step 4: Simplify right side
    462.24x = 175,801.30
  5. Step 5: Solve for x
    x = 175,801.30/462.24
  6. Step 6: Final answer
    x = 380.32

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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.