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Finding the Fourth Proportional to 346.98, 478.85 and 228.99

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Solution

The fourth proportional to 346.98, 478.85 and 228.99 is: 316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 478.85 = 228.99 : x
  2. Step 2: Convert to fraction form
    346.98/478.85 = 228.99/x
  3. Step 3: Cross multiply
    346.98x = 478.85 × 228.99
  4. Step 4: Simplify right side
    346.98x = 109,648.32
  5. Step 5: Solve for x
    x = 109,648.32/346.98
  6. Step 6: Final answer
    x = 316.01

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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.