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Finding the Fourth Proportional to 430.54, 594.76 and 343.10

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Solution

The fourth proportional to 430.54, 594.76 and 343.10 is: 473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 594.76 = 343.10 : x
  2. Step 2: Convert to fraction form
    430.54/594.76 = 343.10/x
  3. Step 3: Cross multiply
    430.54x = 594.76 × 343.10
  4. Step 4: Simplify right side
    430.54x = 204,062.16
  5. Step 5: Solve for x
    x = 204,062.16/430.54
  6. Step 6: Final answer
    x = 473.97

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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.