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Finding the Fourth Proportional to 374.10, 561.15 and 319.14

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Solution

The fourth proportional to 374.10, 561.15 and 319.14 is: 478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.10 : 561.15 = 319.14 : x
  2. Step 2: Convert to fraction form
    374.10/561.15 = 319.14/x
  3. Step 3: Cross multiply
    374.10x = 561.15 × 319.14
  4. Step 4: Simplify right side
    374.10x = 179,085.41
  5. Step 5: Solve for x
    x = 179,085.41/374.10
  6. Step 6: Final answer
    x = 478.71

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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.