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Finding the Fourth Proportional to 348.65, 524.90 and 288.71

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Solution

The fourth proportional to 348.65, 524.90 and 288.71 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.65 : 524.90 = 288.71 : x
  2. Step 2: Convert to fraction form
    348.65/524.90 = 288.71/x
  3. Step 3: Cross multiply
    348.65x = 524.90 × 288.71
  4. Step 4: Simplify right side
    348.65x = 151,539.81
  5. Step 5: Solve for x
    x = 151,539.81/348.65
  6. Step 6: Final answer
    x = 434.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.