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Finding the Fourth Proportional to 313.60, 438.50 and 313.60

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Solution

The fourth proportional to 313.60, 438.50 and 313.60 is: 438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 438.50 = 313.60 : x
  2. Step 2: Convert to fraction form
    313.60/438.50 = 313.60/x
  3. Step 3: Cross multiply
    313.60x = 438.50 × 313.60
  4. Step 4: Simplify right side
    313.60x = 137,513.60
  5. Step 5: Solve for x
    x = 137,513.60/313.60
  6. Step 6: Final answer
    x = 438.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.