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Finding the Fourth Proportional to 399.45, 598.70 and 152.49

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Solution

The fourth proportional to 399.45, 598.70 and 152.49 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.45 : 598.70 = 152.49 : x
  2. Step 2: Convert to fraction form
    399.45/598.70 = 152.49/x
  3. Step 3: Cross multiply
    399.45x = 598.70 × 152.49
  4. Step 4: Simplify right side
    399.45x = 91,294.23
  5. Step 5: Solve for x
    x = 91,294.23/399.45
  6. Step 6: Final answer
    x = 228.55

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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.