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Finding the Fourth Proportional to 342.36, 473.20 and 302.74

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Solution

The fourth proportional to 342.36, 473.20 and 302.74 is: 418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 473.20 = 302.74 : x
  2. Step 2: Convert to fraction form
    342.36/473.20 = 302.74/x
  3. Step 3: Cross multiply
    342.36x = 473.20 × 302.74
  4. Step 4: Simplify right side
    342.36x = 143,256.57
  5. Step 5: Solve for x
    x = 143,256.57/342.36
  6. Step 6: Final answer
    x = 418.44

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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.