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Finding the Fourth Proportional to 345.84, 477.36 and 229.52

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Solution

The fourth proportional to 345.84, 477.36 and 229.52 is: 316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 477.36 = 229.52 : x
  2. Step 2: Convert to fraction form
    345.84/477.36 = 229.52/x
  3. Step 3: Cross multiply
    345.84x = 477.36 × 229.52
  4. Step 4: Simplify right side
    345.84x = 109,563.67
  5. Step 5: Solve for x
    x = 109,563.67/345.84
  6. Step 6: Final answer
    x = 316.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.