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Finding the Fourth Proportional to 319.08, 436.65 and 312.36

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Solution

The fourth proportional to 319.08, 436.65 and 312.36 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.08 : 436.65 = 312.36 : x
  2. Step 2: Convert to fraction form
    319.08/436.65 = 312.36/x
  3. Step 3: Cross multiply
    319.08x = 436.65 × 312.36
  4. Step 4: Simplify right side
    319.08x = 136,391.99
  5. Step 5: Solve for x
    x = 136,391.99/319.08
  6. Step 6: Final answer
    x = 427.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.