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Finding the Fourth Proportional to 157.04, 216.49 and 110.34

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Solution

The fourth proportional to 157.04, 216.49 and 110.34 is: 152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 216.49 = 110.34 : x
  2. Step 2: Convert to fraction form
    157.04/216.49 = 110.34/x
  3. Step 3: Cross multiply
    157.04x = 216.49 × 110.34
  4. Step 4: Simplify right side
    157.04x = 23,887.51
  5. Step 5: Solve for x
    x = 23,887.51/157.04
  6. Step 6: Final answer
    x = 152.11

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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.