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Finding the Fourth Proportional to 339.16, 469.50 and 310

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Solution

The fourth proportional to 339.16, 469.50 and 310 is: 429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.16 : 469.50 = 310 : x
  2. Step 2: Convert to fraction form
    339.16/469.50 = 310/x
  3. Step 3: Cross multiply
    339.16x = 469.50 × 310
  4. Step 4: Simplify right side
    339.16x = 145,545
  5. Step 5: Solve for x
    x = 145,545/339.16
  6. Step 6: Final answer
    x = 429.13

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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.