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Finding the Fourth Proportional to 346.84, 478.73 and 215.80

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Solution

The fourth proportional to 346.84, 478.73 and 215.80 is: 297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 478.73 = 215.80 : x
  2. Step 2: Convert to fraction form
    346.84/478.73 = 215.80/x
  3. Step 3: Cross multiply
    346.84x = 478.73 × 215.80
  4. Step 4: Simplify right side
    346.84x = 103,309.93
  5. Step 5: Solve for x
    x = 103,309.93/346.84
  6. Step 6: Final answer
    x = 297.86

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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.