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Finding the Fourth Proportional to 392.51, 587.25 and 310.50

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Solution

The fourth proportional to 392.51, 587.25 and 310.50 is: 464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.51 : 587.25 = 310.50 : x
  2. Step 2: Convert to fraction form
    392.51/587.25 = 310.50/x
  3. Step 3: Cross multiply
    392.51x = 587.25 × 310.50
  4. Step 4: Simplify right side
    392.51x = 182,341.13
  5. Step 5: Solve for x
    x = 182,341.13/392.51
  6. Step 6: Final answer
    x = 464.55

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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.