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Finding the Fourth Proportional to 360.77, 497.88 and 311.76

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Solution

The fourth proportional to 360.77, 497.88 and 311.76 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.77 : 497.88 = 311.76 : x
  2. Step 2: Convert to fraction form
    360.77/497.88 = 311.76/x
  3. Step 3: Cross multiply
    360.77x = 497.88 × 311.76
  4. Step 4: Simplify right side
    360.77x = 155,219.07
  5. Step 5: Solve for x
    x = 155,219.07/360.77
  6. Step 6: Final answer
    x = 430.25

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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.