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Finding the Fourth Proportional to 239.78, 330.98 and 152.51

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Solution

The fourth proportional to 239.78, 330.98 and 152.51 is: 210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.78 : 330.98 = 152.51 : x
  2. Step 2: Convert to fraction form
    239.78/330.98 = 152.51/x
  3. Step 3: Cross multiply
    239.78x = 330.98 × 152.51
  4. Step 4: Simplify right side
    239.78x = 50,475.34
  5. Step 5: Solve for x
    x = 50,475.34/239.78
  6. Step 6: Final answer
    x = 210.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.