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Finding the Fourth Proportional to 378.61, 522.56 and 313

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Solution

The fourth proportional to 378.61, 522.56 and 313 is: 432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.61 : 522.56 = 313 : x
  2. Step 2: Convert to fraction form
    378.61/522.56 = 313/x
  3. Step 3: Cross multiply
    378.61x = 522.56 × 313
  4. Step 4: Simplify right side
    378.61x = 163,561.28
  5. Step 5: Solve for x
    x = 163,561.28/378.61
  6. Step 6: Final answer
    x = 432.00

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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.