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Finding the Fourth Proportional to 344.13, 474.62 and 302.59

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Solution

The fourth proportional to 344.13, 474.62 and 302.59 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.13 : 474.62 = 302.59 : x
  2. Step 2: Convert to fraction form
    344.13/474.62 = 302.59/x
  3. Step 3: Cross multiply
    344.13x = 474.62 × 302.59
  4. Step 4: Simplify right side
    344.13x = 143,615.48
  5. Step 5: Solve for x
    x = 143,615.48/344.13
  6. Step 6: Final answer
    x = 417.33

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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.