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Finding the Fourth Proportional to 387.21, 578.57 and 292.77

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Solution

The fourth proportional to 387.21, 578.57 and 292.77 is: 437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.21 : 578.57 = 292.77 : x
  2. Step 2: Convert to fraction form
    387.21/578.57 = 292.77/x
  3. Step 3: Cross multiply
    387.21x = 578.57 × 292.77
  4. Step 4: Simplify right side
    387.21x = 169,390.84
  5. Step 5: Solve for x
    x = 169,390.84/387.21
  6. Step 6: Final answer
    x = 437.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.