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Finding the Fourth Proportional to 341.64, 509.80 and 292.86

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Solution

The fourth proportional to 341.64, 509.80 and 292.86 is: 437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 509.80 = 292.86 : x
  2. Step 2: Convert to fraction form
    341.64/509.80 = 292.86/x
  3. Step 3: Cross multiply
    341.64x = 509.80 × 292.86
  4. Step 4: Simplify right side
    341.64x = 149,300.03
  5. Step 5: Solve for x
    x = 149,300.03/341.64
  6. Step 6: Final answer
    x = 437.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.