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Finding the Fourth Proportional to 430.98, 594.54 and 273.35

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Solution

The fourth proportional to 430.98, 594.54 and 273.35 is: 377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.98 : 594.54 = 273.35 : x
  2. Step 2: Convert to fraction form
    430.98/594.54 = 273.35/x
  3. Step 3: Cross multiply
    430.98x = 594.54 × 273.35
  4. Step 4: Simplify right side
    430.98x = 162,516.14
  5. Step 5: Solve for x
    x = 162,516.14/430.98
  6. Step 6: Final answer
    x = 377.09

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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.