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Finding the Fourth Proportional to 1,090.03, 1,635 and 310.10

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Solution

The fourth proportional to 1,090.03, 1,635 and 310.10 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.03 : 1,635 = 310.10 : x
  2. Step 2: Convert to fraction form
    1,090.03/1,635 = 310.10/x
  3. Step 3: Cross multiply
    1,090.03x = 1,635 × 310.10
  4. Step 4: Simplify right side
    1,090.03x = 507,013.50
  5. Step 5: Solve for x
    x = 507,013.50/1,090.03
  6. Step 6: Final answer
    x = 465.14

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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.