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Finding the Fourth Proportional to 319.48, 478.32 and 287.08

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Solution

The fourth proportional to 319.48, 478.32 and 287.08 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 478.32 = 287.08 : x
  2. Step 2: Convert to fraction form
    319.48/478.32 = 287.08/x
  3. Step 3: Cross multiply
    319.48x = 478.32 × 287.08
  4. Step 4: Simplify right side
    319.48x = 137,316.11
  5. Step 5: Solve for x
    x = 137,316.11/319.48
  6. Step 6: Final answer
    x = 429.81

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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.