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Finding the Fourth Proportional to 345.21, 478.50 and 340.08

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Solution

The fourth proportional to 345.21, 478.50 and 340.08 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.21 : 478.50 = 340.08 : x
  2. Step 2: Convert to fraction form
    345.21/478.50 = 340.08/x
  3. Step 3: Cross multiply
    345.21x = 478.50 × 340.08
  4. Step 4: Simplify right side
    345.21x = 162,728.28
  5. Step 5: Solve for x
    x = 162,728.28/345.21
  6. Step 6: Final answer
    x = 471.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.