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Finding the Fourth Proportional to 477.64, 659.10 and 291.16

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Solution

The fourth proportional to 477.64, 659.10 and 291.16 is: 401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.64 : 659.10 = 291.16 : x
  2. Step 2: Convert to fraction form
    477.64/659.10 = 291.16/x
  3. Step 3: Cross multiply
    477.64x = 659.10 × 291.16
  4. Step 4: Simplify right side
    477.64x = 191,903.56
  5. Step 5: Solve for x
    x = 191,903.56/477.64
  6. Step 6: Final answer
    x = 401.77

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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.