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Finding the Fourth Proportional to 370.60, 510.98 and 318.76

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Solution

The fourth proportional to 370.60, 510.98 and 318.76 is: 439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.60 : 510.98 = 318.76 : x
  2. Step 2: Convert to fraction form
    370.60/510.98 = 318.76/x
  3. Step 3: Cross multiply
    370.60x = 510.98 × 318.76
  4. Step 4: Simplify right side
    370.60x = 162,879.98
  5. Step 5: Solve for x
    x = 162,879.98/370.60
  6. Step 6: Final answer
    x = 439.50

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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.