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Finding the Fourth Proportional to 347.58, 523.26 and 302.94

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Solution

The fourth proportional to 347.58, 523.26 and 302.94 is: 456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.58 : 523.26 = 302.94 : x
  2. Step 2: Convert to fraction form
    347.58/523.26 = 302.94/x
  3. Step 3: Cross multiply
    347.58x = 523.26 × 302.94
  4. Step 4: Simplify right side
    347.58x = 158,516.38
  5. Step 5: Solve for x
    x = 158,516.38/347.58
  6. Step 6: Final answer
    x = 456.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.