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Finding the Fourth Proportional to 399.30, 598.77 and 155.70

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Solution

The fourth proportional to 399.30, 598.77 and 155.70 is: 233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 598.77 = 155.70 : x
  2. Step 2: Convert to fraction form
    399.30/598.77 = 155.70/x
  3. Step 3: Cross multiply
    399.30x = 598.77 × 155.70
  4. Step 4: Simplify right side
    399.30x = 93,228.49
  5. Step 5: Solve for x
    x = 93,228.49/399.30
  6. Step 6: Final answer
    x = 233.48

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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.