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Finding the Fourth Proportional to 399.77, 599.76 and 152.98

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Solution

The fourth proportional to 399.77, 599.76 and 152.98 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.77 : 599.76 = 152.98 : x
  2. Step 2: Convert to fraction form
    399.77/599.76 = 152.98/x
  3. Step 3: Cross multiply
    399.77x = 599.76 × 152.98
  4. Step 4: Simplify right side
    399.77x = 91,747.90
  5. Step 5: Solve for x
    x = 91,747.90/399.77
  6. Step 6: Final answer
    x = 229.50

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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.