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Finding the Fourth Proportional to 469.76, 648.41 and 295.20

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Solution

The fourth proportional to 469.76, 648.41 and 295.20 is: 407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 648.41 = 295.20 : x
  2. Step 2: Convert to fraction form
    469.76/648.41 = 295.20/x
  3. Step 3: Cross multiply
    469.76x = 648.41 × 295.20
  4. Step 4: Simplify right side
    469.76x = 191,409.16
  5. Step 5: Solve for x
    x = 191,409.16/469.76
  6. Step 6: Final answer
    x = 407.47

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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.