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Finding the Fourth Proportional to 309.24, 461.23 and 289.64

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Solution

The fourth proportional to 309.24, 461.23 and 289.64 is: 432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 461.23 = 289.64 : x
  2. Step 2: Convert to fraction form
    309.24/461.23 = 289.64/x
  3. Step 3: Cross multiply
    309.24x = 461.23 × 289.64
  4. Step 4: Simplify right side
    309.24x = 133,590.66
  5. Step 5: Solve for x
    x = 133,590.66/309.24
  6. Step 6: Final answer
    x = 432.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.