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Finding the Fourth Proportional to 472.16, 651.12 and 341.28

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Solution

The fourth proportional to 472.16, 651.12 and 341.28 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 651.12 = 341.28 : x
  2. Step 2: Convert to fraction form
    472.16/651.12 = 341.28/x
  3. Step 3: Cross multiply
    472.16x = 651.12 × 341.28
  4. Step 4: Simplify right side
    472.16x = 222,214.23
  5. Step 5: Solve for x
    x = 222,214.23/472.16
  6. Step 6: Final answer
    x = 470.63

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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.