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Finding the Fourth Proportional to 374.50, 561.26 and 258.76

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Solution

The fourth proportional to 374.50, 561.26 and 258.76 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.50 : 561.26 = 258.76 : x
  2. Step 2: Convert to fraction form
    374.50/561.26 = 258.76/x
  3. Step 3: Cross multiply
    374.50x = 561.26 × 258.76
  4. Step 4: Simplify right side
    374.50x = 145,230.88
  5. Step 5: Solve for x
    x = 145,230.88/374.50
  6. Step 6: Final answer
    x = 387.80

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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.