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Finding the Fourth Proportional to 469.87, 648.45 and 312.23

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Solution

The fourth proportional to 469.87, 648.45 and 312.23 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.87 : 648.45 = 312.23 : x
  2. Step 2: Convert to fraction form
    469.87/648.45 = 312.23/x
  3. Step 3: Cross multiply
    469.87x = 648.45 × 312.23
  4. Step 4: Simplify right side
    469.87x = 202,467.16
  5. Step 5: Solve for x
    x = 202,467.16/469.87
  6. Step 6: Final answer
    x = 430.90

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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.