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Finding the Fourth Proportional to 399.93, 598.40 and 312.99

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Solution

The fourth proportional to 399.93, 598.40 and 312.99 is: 468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.93 : 598.40 = 312.99 : x
  2. Step 2: Convert to fraction form
    399.93/598.40 = 312.99/x
  3. Step 3: Cross multiply
    399.93x = 598.40 × 312.99
  4. Step 4: Simplify right side
    399.93x = 187,293.22
  5. Step 5: Solve for x
    x = 187,293.22/399.93
  6. Step 6: Final answer
    x = 468.31

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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.