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Finding the Fourth Proportional to 310.04, 465.07 and 90.68

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Solution

The fourth proportional to 310.04, 465.07 and 90.68 is: 136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 465.07 = 90.68 : x
  2. Step 2: Convert to fraction form
    310.04/465.07 = 90.68/x
  3. Step 3: Cross multiply
    310.04x = 465.07 × 90.68
  4. Step 4: Simplify right side
    310.04x = 42,173.18
  5. Step 5: Solve for x
    x = 42,173.18/310.04
  6. Step 6: Final answer
    x = 136.02

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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.