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Finding the Fourth Proportional to 228.80, 314.16 and 184.80

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Solution

The fourth proportional to 228.80, 314.16 and 184.80 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.80 : 314.16 = 184.80 : x
  2. Step 2: Convert to fraction form
    228.80/314.16 = 184.80/x
  3. Step 3: Cross multiply
    228.80x = 314.16 × 184.80
  4. Step 4: Simplify right side
    228.80x = 58,056.77
  5. Step 5: Solve for x
    x = 58,056.77/228.80
  6. Step 6: Final answer
    x = 253.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.