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Finding the Fourth Proportional to 346.36, 478.06 and 236.10

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Solution

The fourth proportional to 346.36, 478.06 and 236.10 is: 325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.36 : 478.06 = 236.10 : x
  2. Step 2: Convert to fraction form
    346.36/478.06 = 236.10/x
  3. Step 3: Cross multiply
    346.36x = 478.06 × 236.10
  4. Step 4: Simplify right side
    346.36x = 112,868.79
  5. Step 5: Solve for x
    x = 112,868.79/346.36
  6. Step 6: Final answer
    x = 325.87

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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.