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Finding the Fourth Proportional to 469.90, 648.24 and 283.40

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Solution

The fourth proportional to 469.90, 648.24 and 283.40 is: 390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.90 : 648.24 = 283.40 : x
  2. Step 2: Convert to fraction form
    469.90/648.24 = 283.40/x
  3. Step 3: Cross multiply
    469.90x = 648.24 × 283.40
  4. Step 4: Simplify right side
    469.90x = 183,711.22
  5. Step 5: Solve for x
    x = 183,711.22/469.90
  6. Step 6: Final answer
    x = 390.96

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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.