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Finding the Fourth Proportional to 337.84, 507.53 and 291.74

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Solution

The fourth proportional to 337.84, 507.53 and 291.74 is: 438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 507.53 = 291.74 : x
  2. Step 2: Convert to fraction form
    337.84/507.53 = 291.74/x
  3. Step 3: Cross multiply
    337.84x = 507.53 × 291.74
  4. Step 4: Simplify right side
    337.84x = 148,064.99
  5. Step 5: Solve for x
    x = 148,064.99/337.84
  6. Step 6: Final answer
    x = 438.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.