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Finding the Fourth Proportional to 165.04, 245.88 and 157.30

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Solution

The fourth proportional to 165.04, 245.88 and 157.30 is: 234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.04 : 245.88 = 157.30 : x
  2. Step 2: Convert to fraction form
    165.04/245.88 = 157.30/x
  3. Step 3: Cross multiply
    165.04x = 245.88 × 157.30
  4. Step 4: Simplify right side
    165.04x = 38,674.91
  5. Step 5: Solve for x
    x = 38,674.91/165.04
  6. Step 6: Final answer
    x = 234.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.