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Finding the Fourth Proportional to 315.36, 434.95 and 279.95

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Solution

The fourth proportional to 315.36, 434.95 and 279.95 is: 386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.36 : 434.95 = 279.95 : x
  2. Step 2: Convert to fraction form
    315.36/434.95 = 279.95/x
  3. Step 3: Cross multiply
    315.36x = 434.95 × 279.95
  4. Step 4: Simplify right side
    315.36x = 121,762.08
  5. Step 5: Solve for x
    x = 121,762.08/315.36
  6. Step 6: Final answer
    x = 386.11

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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.