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Finding the Fourth Proportional to 360.56, 497.81 and 277.52

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Solution

The fourth proportional to 360.56, 497.81 and 277.52 is: 383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 497.81 = 277.52 : x
  2. Step 2: Convert to fraction form
    360.56/497.81 = 277.52/x
  3. Step 3: Cross multiply
    360.56x = 497.81 × 277.52
  4. Step 4: Simplify right side
    360.56x = 138,152.23
  5. Step 5: Solve for x
    x = 138,152.23/360.56
  6. Step 6: Final answer
    x = 383.16

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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.