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Finding the Fourth Proportional to 387.10, 583.81 and 374.77

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Solution

The fourth proportional to 387.10, 583.81 and 374.77 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 583.81 = 374.77 : x
  2. Step 2: Convert to fraction form
    387.10/583.81 = 374.77/x
  3. Step 3: Cross multiply
    387.10x = 583.81 × 374.77
  4. Step 4: Simplify right side
    387.10x = 218,794.47
  5. Step 5: Solve for x
    x = 218,794.47/387.10
  6. Step 6: Final answer
    x = 565.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.