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Finding the Fourth Proportional to 294.59, 407.57 and 289.41

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Solution

The fourth proportional to 294.59, 407.57 and 289.41 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.59 : 407.57 = 289.41 : x
  2. Step 2: Convert to fraction form
    294.59/407.57 = 289.41/x
  3. Step 3: Cross multiply
    294.59x = 407.57 × 289.41
  4. Step 4: Simplify right side
    294.59x = 117,954.83
  5. Step 5: Solve for x
    x = 117,954.83/294.59
  6. Step 6: Final answer
    x = 400.40

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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.