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Finding the Fourth Proportional to 228.02, 314.55 and 162.59

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Solution

The fourth proportional to 228.02, 314.55 and 162.59 is: 224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 314.55 = 162.59 : x
  2. Step 2: Convert to fraction form
    228.02/314.55 = 162.59/x
  3. Step 3: Cross multiply
    228.02x = 314.55 × 162.59
  4. Step 4: Simplify right side
    228.02x = 51,141.11
  5. Step 5: Solve for x
    x = 51,141.11/228.02
  6. Step 6: Final answer
    x = 224.29

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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.