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Finding the Fourth Proportional to 319.60, 478.50 and 242.32

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Solution

The fourth proportional to 319.60, 478.50 and 242.32 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 478.50 = 242.32 : x
  2. Step 2: Convert to fraction form
    319.60/478.50 = 242.32/x
  3. Step 3: Cross multiply
    319.60x = 478.50 × 242.32
  4. Step 4: Simplify right side
    319.60x = 115,950.12
  5. Step 5: Solve for x
    x = 115,950.12/319.60
  6. Step 6: Final answer
    x = 362.80

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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.