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Finding the Fourth Proportional to 350.40, 524.48 and 317.76

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Solution

The fourth proportional to 350.40, 524.48 and 317.76 is: 475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 524.48 = 317.76 : x
  2. Step 2: Convert to fraction form
    350.40/524.48 = 317.76/x
  3. Step 3: Cross multiply
    350.40x = 524.48 × 317.76
  4. Step 4: Simplify right side
    350.40x = 166,658.76
  5. Step 5: Solve for x
    x = 166,658.76/350.40
  6. Step 6: Final answer
    x = 475.62

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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.