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Finding the Fourth Proportional to 406.53, 560.25 and 289.89

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Solution

The fourth proportional to 406.53, 560.25 and 289.89 is: 399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.53 : 560.25 = 289.89 : x
  2. Step 2: Convert to fraction form
    406.53/560.25 = 289.89/x
  3. Step 3: Cross multiply
    406.53x = 560.25 × 289.89
  4. Step 4: Simplify right side
    406.53x = 162,410.87
  5. Step 5: Solve for x
    x = 162,410.87/406.53
  6. Step 6: Final answer
    x = 399.51

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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.