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Finding the Fourth Proportional to 346.61, 477.95 and 228.35

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Solution

The fourth proportional to 346.61, 477.95 and 228.35 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.61 : 477.95 = 228.35 : x
  2. Step 2: Convert to fraction form
    346.61/477.95 = 228.35/x
  3. Step 3: Cross multiply
    346.61x = 477.95 × 228.35
  4. Step 4: Simplify right side
    346.61x = 109,136.35
  5. Step 5: Solve for x
    x = 109,136.35/346.61
  6. Step 6: Final answer
    x = 314.87

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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.