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Finding the Fourth Proportional to 356.53, 491.81 and 228.54

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Solution

The fourth proportional to 356.53, 491.81 and 228.54 is: 315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.53 : 491.81 = 228.54 : x
  2. Step 2: Convert to fraction form
    356.53/491.81 = 228.54/x
  3. Step 3: Cross multiply
    356.53x = 491.81 × 228.54
  4. Step 4: Simplify right side
    356.53x = 112,398.26
  5. Step 5: Solve for x
    x = 112,398.26/356.53
  6. Step 6: Final answer
    x = 315.26

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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.