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Finding the Fourth Proportional to 472.48, 651.52 and 388.16

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Solution

The fourth proportional to 472.48, 651.52 and 388.16 is: 535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 651.52 = 388.16 : x
  2. Step 2: Convert to fraction form
    472.48/651.52 = 388.16/x
  3. Step 3: Cross multiply
    472.48x = 651.52 × 388.16
  4. Step 4: Simplify right side
    472.48x = 252,894.00
  5. Step 5: Solve for x
    x = 252,894.00/472.48
  6. Step 6: Final answer
    x = 535.25

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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.