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Finding the Fourth Proportional to 172.32, 256.94 and 153.06

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Solution

The fourth proportional to 172.32, 256.94 and 153.06 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 256.94 = 153.06 : x
  2. Step 2: Convert to fraction form
    172.32/256.94 = 153.06/x
  3. Step 3: Cross multiply
    172.32x = 256.94 × 153.06
  4. Step 4: Simplify right side
    172.32x = 39,326.47
  5. Step 5: Solve for x
    x = 39,326.47/172.32
  6. Step 6: Final answer
    x = 228.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.