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Finding the Fourth Proportional to 245.78, 368.59 and 101.46

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Solution

The fourth proportional to 245.78, 368.59 and 101.46 is: 152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 368.59 = 101.46 : x
  2. Step 2: Convert to fraction form
    245.78/368.59 = 101.46/x
  3. Step 3: Cross multiply
    245.78x = 368.59 × 101.46
  4. Step 4: Simplify right side
    245.78x = 37,397.14
  5. Step 5: Solve for x
    x = 37,397.14/245.78
  6. Step 6: Final answer
    x = 152.16

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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.