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Finding the Fourth Proportional to 342.19, 512.25 and 322.98

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Solution

The fourth proportional to 342.19, 512.25 and 322.98 is: 483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.19 : 512.25 = 322.98 : x
  2. Step 2: Convert to fraction form
    342.19/512.25 = 322.98/x
  3. Step 3: Cross multiply
    342.19x = 512.25 × 322.98
  4. Step 4: Simplify right side
    342.19x = 165,446.51
  5. Step 5: Solve for x
    x = 165,446.51/342.19
  6. Step 6: Final answer
    x = 483.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.