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Finding the Fourth Proportional to 114.24, 172.08 and 96.16

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Solution

The fourth proportional to 114.24, 172.08 and 96.16 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 172.08 = 96.16 : x
  2. Step 2: Convert to fraction form
    114.24/172.08 = 96.16/x
  3. Step 3: Cross multiply
    114.24x = 172.08 × 96.16
  4. Step 4: Simplify right side
    114.24x = 16,547.21
  5. Step 5: Solve for x
    x = 16,547.21/114.24
  6. Step 6: Final answer
    x = 144.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.