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Finding the Fourth Proportional to 302.40, 416.40 and 236.64

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Solution

The fourth proportional to 302.40, 416.40 and 236.64 is: 325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 416.40 = 236.64 : x
  2. Step 2: Convert to fraction form
    302.40/416.40 = 236.64/x
  3. Step 3: Cross multiply
    302.40x = 416.40 × 236.64
  4. Step 4: Simplify right side
    302.40x = 98,536.90
  5. Step 5: Solve for x
    x = 98,536.90/302.40
  6. Step 6: Final answer
    x = 325.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.