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Finding the Fourth Proportional to 419.32, 577.65 and 294.74

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Solution

The fourth proportional to 419.32, 577.65 and 294.74 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 577.65 = 294.74 : x
  2. Step 2: Convert to fraction form
    419.32/577.65 = 294.74/x
  3. Step 3: Cross multiply
    419.32x = 577.65 × 294.74
  4. Step 4: Simplify right side
    419.32x = 170,256.56
  5. Step 5: Solve for x
    x = 170,256.56/419.32
  6. Step 6: Final answer
    x = 406.03

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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.