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Finding the Fourth Proportional to 152.64, 210.69 and 144.90

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Solution

The fourth proportional to 152.64, 210.69 and 144.90 is: 200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 210.69 = 144.90 : x
  2. Step 2: Convert to fraction form
    152.64/210.69 = 144.90/x
  3. Step 3: Cross multiply
    152.64x = 210.69 × 144.90
  4. Step 4: Simplify right side
    152.64x = 30,528.98
  5. Step 5: Solve for x
    x = 30,528.98/152.64
  6. Step 6: Final answer
    x = 200.01

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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.