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Finding the Fourth Proportional to 342.56, 511.48 and 290.32

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Solution

The fourth proportional to 342.56, 511.48 and 290.32 is: 433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 511.48 = 290.32 : x
  2. Step 2: Convert to fraction form
    342.56/511.48 = 290.32/x
  3. Step 3: Cross multiply
    342.56x = 511.48 × 290.32
  4. Step 4: Simplify right side
    342.56x = 148,491.96
  5. Step 5: Solve for x
    x = 148,491.96/342.56
  6. Step 6: Final answer
    x = 433.47

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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.