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Finding the Fourth Proportional to 349.65, 526.40 and 289.71

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Solution

The fourth proportional to 349.65, 526.40 and 289.71 is: 436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.65 : 526.40 = 289.71 : x
  2. Step 2: Convert to fraction form
    349.65/526.40 = 289.71/x
  3. Step 3: Cross multiply
    349.65x = 526.40 × 289.71
  4. Step 4: Simplify right side
    349.65x = 152,503.34
  5. Step 5: Solve for x
    x = 152,503.34/349.65
  6. Step 6: Final answer
    x = 436.16

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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.