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Finding the Fourth Proportional to 395.68, 592.80 and 310

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Solution

The fourth proportional to 395.68, 592.80 and 310 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 592.80 = 310 : x
  2. Step 2: Convert to fraction form
    395.68/592.80 = 310/x
  3. Step 3: Cross multiply
    395.68x = 592.80 × 310
  4. Step 4: Simplify right side
    395.68x = 183,768
  5. Step 5: Solve for x
    x = 183,768/395.68
  6. Step 6: Final answer
    x = 464.44

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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.