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Finding the Fourth Proportional to 342.61, 473.04 and 309.35

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Solution

The fourth proportional to 342.61, 473.04 and 309.35 is: 427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.61 : 473.04 = 309.35 : x
  2. Step 2: Convert to fraction form
    342.61/473.04 = 309.35/x
  3. Step 3: Cross multiply
    342.61x = 473.04 × 309.35
  4. Step 4: Simplify right side
    342.61x = 146,332.56
  5. Step 5: Solve for x
    x = 146,332.56/342.61
  6. Step 6: Final answer
    x = 427.11

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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.