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Finding the Fourth Proportional to 387.30, 580.34 and 310.76

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Solution

The fourth proportional to 387.30, 580.34 and 310.76 is: 465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.30 : 580.34 = 310.76 : x
  2. Step 2: Convert to fraction form
    387.30/580.34 = 310.76/x
  3. Step 3: Cross multiply
    387.30x = 580.34 × 310.76
  4. Step 4: Simplify right side
    387.30x = 180,342.00
  5. Step 5: Solve for x
    x = 180,342.00/387.30
  6. Step 6: Final answer
    x = 465.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.