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Finding the Fourth Proportional to 349.90, 524.95 and 311.65

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Solution

The fourth proportional to 349.90, 524.95 and 311.65 is: 467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.90 : 524.95 = 311.65 : x
  2. Step 2: Convert to fraction form
    349.90/524.95 = 311.65/x
  3. Step 3: Cross multiply
    349.90x = 524.95 × 311.65
  4. Step 4: Simplify right side
    349.90x = 163,603.28
  5. Step 5: Solve for x
    x = 163,603.28/349.90
  6. Step 6: Final answer
    x = 467.57

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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.