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Finding the Fourth Proportional to 430.78, 594.48 and 256.24

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Solution

The fourth proportional to 430.78, 594.48 and 256.24 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.78 : 594.48 = 256.24 : x
  2. Step 2: Convert to fraction form
    430.78/594.48 = 256.24/x
  3. Step 3: Cross multiply
    430.78x = 594.48 × 256.24
  4. Step 4: Simplify right side
    430.78x = 152,329.56
  5. Step 5: Solve for x
    x = 152,329.56/430.78
  6. Step 6: Final answer
    x = 353.61

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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.