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Finding the Fourth Proportional to 346.98, 478.86 and 228.96

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Solution

The fourth proportional to 346.98, 478.86 and 228.96 is: 315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 478.86 = 228.96 : x
  2. Step 2: Convert to fraction form
    346.98/478.86 = 228.96/x
  3. Step 3: Cross multiply
    346.98x = 478.86 × 228.96
  4. Step 4: Simplify right side
    346.98x = 109,639.79
  5. Step 5: Solve for x
    x = 109,639.79/346.98
  6. Step 6: Final answer
    x = 315.98

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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.