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Finding the Fourth Proportional to 344.40, 474.93 and 305.07

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Solution

The fourth proportional to 344.40, 474.93 and 305.07 is: 420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 474.93 = 305.07 : x
  2. Step 2: Convert to fraction form
    344.40/474.93 = 305.07/x
  3. Step 3: Cross multiply
    344.40x = 474.93 × 305.07
  4. Step 4: Simplify right side
    344.40x = 144,886.90
  5. Step 5: Solve for x
    x = 144,886.90/344.40
  6. Step 6: Final answer
    x = 420.69

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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.