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Finding the Fourth Proportional to 345.86, 477.65 and 296.45

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Solution

The fourth proportional to 345.86, 477.65 and 296.45 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.86 : 477.65 = 296.45 : x
  2. Step 2: Convert to fraction form
    345.86/477.65 = 296.45/x
  3. Step 3: Cross multiply
    345.86x = 477.65 × 296.45
  4. Step 4: Simplify right side
    345.86x = 141,599.34
  5. Step 5: Solve for x
    x = 141,599.34/345.86
  6. Step 6: Final answer
    x = 409.41

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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.