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Finding the Fourth Proportional to 374.46, 561.07 and 258.49

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Solution

The fourth proportional to 374.46, 561.07 and 258.49 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.46 : 561.07 = 258.49 : x
  2. Step 2: Convert to fraction form
    374.46/561.07 = 258.49/x
  3. Step 3: Cross multiply
    374.46x = 561.07 × 258.49
  4. Step 4: Simplify right side
    374.46x = 145,030.98
  5. Step 5: Solve for x
    x = 145,030.98/374.46
  6. Step 6: Final answer
    x = 387.31

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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.