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Finding the Fourth Proportional to 384.93, 577.42 and 294.19

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Solution

The fourth proportional to 384.93, 577.42 and 294.19 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 577.42 = 294.19 : x
  2. Step 2: Convert to fraction form
    384.93/577.42 = 294.19/x
  3. Step 3: Cross multiply
    384.93x = 577.42 × 294.19
  4. Step 4: Simplify right side
    384.93x = 169,871.19
  5. Step 5: Solve for x
    x = 169,871.19/384.93
  6. Step 6: Final answer
    x = 441.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.