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Finding the Fourth Proportional to 374.03, 560.79 and 319.19

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Solution

The fourth proportional to 374.03, 560.79 and 319.19 is: 478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.03 : 560.79 = 319.19 : x
  2. Step 2: Convert to fraction form
    374.03/560.79 = 319.19/x
  3. Step 3: Cross multiply
    374.03x = 560.79 × 319.19
  4. Step 4: Simplify right side
    374.03x = 178,995.76
  5. Step 5: Solve for x
    x = 178,995.76/374.03
  6. Step 6: Final answer
    x = 478.57

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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.