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Finding the Fourth Proportional to 152.64, 210.30 and 103.42

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Solution

The fourth proportional to 152.64, 210.30 and 103.42 is: 142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 210.30 = 103.42 : x
  2. Step 2: Convert to fraction form
    152.64/210.30 = 103.42/x
  3. Step 3: Cross multiply
    152.64x = 210.30 × 103.42
  4. Step 4: Simplify right side
    152.64x = 21,749.23
  5. Step 5: Solve for x
    x = 21,749.23/152.64
  6. Step 6: Final answer
    x = 142.49

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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.