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Finding the Fourth Proportional to 374.53, 561.90 and 212.35

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Solution

The fourth proportional to 374.53, 561.90 and 212.35 is: 318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.53 : 561.90 = 212.35 : x
  2. Step 2: Convert to fraction form
    374.53/561.90 = 212.35/x
  3. Step 3: Cross multiply
    374.53x = 561.90 × 212.35
  4. Step 4: Simplify right side
    374.53x = 119,319.47
  5. Step 5: Solve for x
    x = 119,319.47/374.53
  6. Step 6: Final answer
    x = 318.58

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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.