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Finding the Fourth Proportional to 340.01, 509.72 and 291.07

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Solution

The fourth proportional to 340.01, 509.72 and 291.07 is: 436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 509.72 = 291.07 : x
  2. Step 2: Convert to fraction form
    340.01/509.72 = 291.07/x
  3. Step 3: Cross multiply
    340.01x = 509.72 × 291.07
  4. Step 4: Simplify right side
    340.01x = 148,361.65
  5. Step 5: Solve for x
    x = 148,361.65/340.01
  6. Step 6: Final answer
    x = 436.35

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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.