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Finding the Fourth Proportional to 342.08, 468.53 and 322.13

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Solution

The fourth proportional to 342.08, 468.53 and 322.13 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.08 : 468.53 = 322.13 : x
  2. Step 2: Convert to fraction form
    342.08/468.53 = 322.13/x
  3. Step 3: Cross multiply
    342.08x = 468.53 × 322.13
  4. Step 4: Simplify right side
    342.08x = 150,925.96
  5. Step 5: Solve for x
    x = 150,925.96/342.08
  6. Step 6: Final answer
    x = 441.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.