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Finding the Fourth Proportional to 469.16, 647.88 and 294.81

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Solution

The fourth proportional to 469.16, 647.88 and 294.81 is: 407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.16 : 647.88 = 294.81 : x
  2. Step 2: Convert to fraction form
    469.16/647.88 = 294.81/x
  3. Step 3: Cross multiply
    469.16x = 647.88 × 294.81
  4. Step 4: Simplify right side
    469.16x = 191,001.50
  5. Step 5: Solve for x
    x = 191,001.50/469.16
  6. Step 6: Final answer
    x = 407.11

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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.