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Finding the Fourth Proportional to 245.36, 368.16 and 101

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Solution

The fourth proportional to 245.36, 368.16 and 101 is: 151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 368.16 = 101 : x
  2. Step 2: Convert to fraction form
    245.36/368.16 = 101/x
  3. Step 3: Cross multiply
    245.36x = 368.16 × 101
  4. Step 4: Simplify right side
    245.36x = 37,184.16
  5. Step 5: Solve for x
    x = 37,184.16/245.36
  6. Step 6: Final answer
    x = 151.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.