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Finding the Fourth Proportional to 399.87, 598.86 and 312.59

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Solution

The fourth proportional to 399.87, 598.86 and 312.59 is: 468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.87 : 598.86 = 312.59 : x
  2. Step 2: Convert to fraction form
    399.87/598.86 = 312.59/x
  3. Step 3: Cross multiply
    399.87x = 598.86 × 312.59
  4. Step 4: Simplify right side
    399.87x = 187,199.14
  5. Step 5: Solve for x
    x = 187,199.14/399.87
  6. Step 6: Final answer
    x = 468.15

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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.