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Finding the Fourth Proportional to 346.16, 476.93 and 229.52

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Solution

The fourth proportional to 346.16, 476.93 and 229.52 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 476.93 = 229.52 : x
  2. Step 2: Convert to fraction form
    346.16/476.93 = 229.52/x
  3. Step 3: Cross multiply
    346.16x = 476.93 × 229.52
  4. Step 4: Simplify right side
    346.16x = 109,461.44
  5. Step 5: Solve for x
    x = 109,461.44/346.16
  6. Step 6: Final answer
    x = 316.22

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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.