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Finding the Fourth Proportional to 319.48, 478.40 and 292.75

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Solution

The fourth proportional to 319.48, 478.40 and 292.75 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 478.40 = 292.75 : x
  2. Step 2: Convert to fraction form
    319.48/478.40 = 292.75/x
  3. Step 3: Cross multiply
    319.48x = 478.40 × 292.75
  4. Step 4: Simplify right side
    319.48x = 140,047.74
  5. Step 5: Solve for x
    x = 140,047.74/319.48
  6. Step 6: Final answer
    x = 438.37

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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.