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Finding the Fourth Proportional to 760.16, 1,140.36 and 240.14

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Solution

The fourth proportional to 760.16, 1,140.36 and 240.14 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.16 : 1,140.36 = 240.14 : x
  2. Step 2: Convert to fraction form
    760.16/1,140.36 = 240.14/x
  3. Step 3: Cross multiply
    760.16x = 1,140.36 × 240.14
  4. Step 4: Simplify right side
    760.16x = 273,846.05
  5. Step 5: Solve for x
    x = 273,846.05/760.16
  6. Step 6: Final answer
    x = 360.25

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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.