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Finding the Fourth Proportional to 392.24, 585.84 and 315.36

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Solution

The fourth proportional to 392.24, 585.84 and 315.36 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.24 : 585.84 = 315.36 : x
  2. Step 2: Convert to fraction form
    392.24/585.84 = 315.36/x
  3. Step 3: Cross multiply
    392.24x = 585.84 × 315.36
  4. Step 4: Simplify right side
    392.24x = 184,750.50
  5. Step 5: Solve for x
    x = 184,750.50/392.24
  6. Step 6: Final answer
    x = 471.01

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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.