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Finding the Fourth Proportional to 374.59, 561.35 and 319.45

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Solution

The fourth proportional to 374.59, 561.35 and 319.45 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.59 : 561.35 = 319.45 : x
  2. Step 2: Convert to fraction form
    374.59/561.35 = 319.45/x
  3. Step 3: Cross multiply
    374.59x = 561.35 × 319.45
  4. Step 4: Simplify right side
    374.59x = 179,323.26
  5. Step 5: Solve for x
    x = 179,323.26/374.59
  6. Step 6: Final answer
    x = 478.72

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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.