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Finding the Fourth Proportional to 472.78, 652.31 and 286.30

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Solution

The fourth proportional to 472.78, 652.31 and 286.30 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 652.31 = 286.30 : x
  2. Step 2: Convert to fraction form
    472.78/652.31 = 286.30/x
  3. Step 3: Cross multiply
    472.78x = 652.31 × 286.30
  4. Step 4: Simplify right side
    472.78x = 186,756.35
  5. Step 5: Solve for x
    x = 186,756.35/472.78
  6. Step 6: Final answer
    x = 395.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.