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Finding the Fourth Proportional to 469.64, 648.06 and 294.98

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Solution

The fourth proportional to 469.64, 648.06 and 294.98 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.64 : 648.06 = 294.98 : x
  2. Step 2: Convert to fraction form
    469.64/648.06 = 294.98/x
  3. Step 3: Cross multiply
    469.64x = 648.06 × 294.98
  4. Step 4: Simplify right side
    469.64x = 191,164.74
  5. Step 5: Solve for x
    x = 191,164.74/469.64
  6. Step 6: Final answer
    x = 407.05

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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.