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Finding the Fourth Proportional to 430.67, 594.41 and 256.11

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Solution

The fourth proportional to 430.67, 594.41 and 256.11 is: 353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.67 : 594.41 = 256.11 : x
  2. Step 2: Convert to fraction form
    430.67/594.41 = 256.11/x
  3. Step 3: Cross multiply
    430.67x = 594.41 × 256.11
  4. Step 4: Simplify right side
    430.67x = 152,233.06
  5. Step 5: Solve for x
    x = 152,233.06/430.67
  6. Step 6: Final answer
    x = 353.48

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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.