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Finding the Fourth Proportional to 374.82, 561.60 and 266.07

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Solution

The fourth proportional to 374.82, 561.60 and 266.07 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.82 : 561.60 = 266.07 : x
  2. Step 2: Convert to fraction form
    374.82/561.60 = 266.07/x
  3. Step 3: Cross multiply
    374.82x = 561.60 × 266.07
  4. Step 4: Simplify right side
    374.82x = 149,424.91
  5. Step 5: Solve for x
    x = 149,424.91/374.82
  6. Step 6: Final answer
    x = 398.66

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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.