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Finding the Fourth Proportional to 399.63, 598.16 and 287.89

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Solution

The fourth proportional to 399.63, 598.16 and 287.89 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 598.16 = 287.89 : x
  2. Step 2: Convert to fraction form
    399.63/598.16 = 287.89/x
  3. Step 3: Cross multiply
    399.63x = 598.16 × 287.89
  4. Step 4: Simplify right side
    399.63x = 172,204.28
  5. Step 5: Solve for x
    x = 172,204.28/399.63
  6. Step 6: Final answer
    x = 430.91

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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.