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Finding the Fourth Proportional to 374.78, 561.39 and 297.86

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Solution

The fourth proportional to 374.78, 561.39 and 297.86 is: 446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.78 : 561.39 = 297.86 : x
  2. Step 2: Convert to fraction form
    374.78/561.39 = 297.86/x
  3. Step 3: Cross multiply
    374.78x = 561.39 × 297.86
  4. Step 4: Simplify right side
    374.78x = 167,215.63
  5. Step 5: Solve for x
    x = 167,215.63/374.78
  6. Step 6: Final answer
    x = 446.17

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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.