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Finding the Fourth Proportional to 152.40, 207.60 and 151.68

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Solution

The fourth proportional to 152.40, 207.60 and 151.68 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 207.60 = 151.68 : x
  2. Step 2: Convert to fraction form
    152.40/207.60 = 151.68/x
  3. Step 3: Cross multiply
    152.40x = 207.60 × 151.68
  4. Step 4: Simplify right side
    152.40x = 31,488.77
  5. Step 5: Solve for x
    x = 31,488.77/152.40
  6. Step 6: Final answer
    x = 206.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.