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Finding the Fourth Proportional to 152.02, 208.64 and 152.02

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Solution

The fourth proportional to 152.02, 208.64 and 152.02 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 208.64 = 152.02 : x
  2. Step 2: Convert to fraction form
    152.02/208.64 = 152.02/x
  3. Step 3: Cross multiply
    152.02x = 208.64 × 152.02
  4. Step 4: Simplify right side
    152.02x = 31,717.45
  5. Step 5: Solve for x
    x = 31,717.45/152.02
  6. Step 6: Final answer
    x = 208.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.