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Finding the Fourth Proportional to 758.03, 1,137.08 and 210.20

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Solution

The fourth proportional to 758.03, 1,137.08 and 210.20 is: 315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.03 : 1,137.08 = 210.20 : x
  2. Step 2: Convert to fraction form
    758.03/1,137.08 = 210.20/x
  3. Step 3: Cross multiply
    758.03x = 1,137.08 × 210.20
  4. Step 4: Simplify right side
    758.03x = 239,009.06
  5. Step 5: Solve for x
    x = 239,009.06/758.03
  6. Step 6: Final answer
    x = 315.30

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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.