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Finding the Fourth Proportional to 914.13, 1,370.99 and 366.16

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Solution

The fourth proportional to 914.13, 1,370.99 and 366.16 is: 549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.13 : 1,370.99 = 366.16 : x
  2. Step 2: Convert to fraction form
    914.13/1,370.99 = 366.16/x
  3. Step 3: Cross multiply
    914.13x = 1,370.99 × 366.16
  4. Step 4: Simplify right side
    914.13x = 501,999.87
  5. Step 5: Solve for x
    x = 501,999.87/914.13
  6. Step 6: Final answer
    x = 549.16

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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.