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Finding the Fourth Proportional to 300.02, 450.10 and 117.40

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Solution

The fourth proportional to 300.02, 450.10 and 117.40 is: 176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 450.10 = 117.40 : x
  2. Step 2: Convert to fraction form
    300.02/450.10 = 117.40/x
  3. Step 3: Cross multiply
    300.02x = 450.10 × 117.40
  4. Step 4: Simplify right side
    300.02x = 52,841.74
  5. Step 5: Solve for x
    x = 52,841.74/300.02
  6. Step 6: Final answer
    x = 176.13

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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.