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Finding the Fourth Proportional to 360.47, 497.90 and 275.93

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Solution

The fourth proportional to 360.47, 497.90 and 275.93 is: 381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.47 : 497.90 = 275.93 : x
  2. Step 2: Convert to fraction form
    360.47/497.90 = 275.93/x
  3. Step 3: Cross multiply
    360.47x = 497.90 × 275.93
  4. Step 4: Simplify right side
    360.47x = 137,383.06
  5. Step 5: Solve for x
    x = 137,383.06/360.47
  6. Step 6: Final answer
    x = 381.13

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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.