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Finding the Fourth Proportional to 390.24, 582.84 and 317.28

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Solution

The fourth proportional to 390.24, 582.84 and 317.28 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 582.84 = 317.28 : x
  2. Step 2: Convert to fraction form
    390.24/582.84 = 317.28/x
  3. Step 3: Cross multiply
    390.24x = 582.84 × 317.28
  4. Step 4: Simplify right side
    390.24x = 184,923.48
  5. Step 5: Solve for x
    x = 184,923.48/390.24
  6. Step 6: Final answer
    x = 473.87

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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.