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Finding the Fourth Proportional to 433.40, 598.02 and 256.36

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Solution

The fourth proportional to 433.40, 598.02 and 256.36 is: 353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 598.02 = 256.36 : x
  2. Step 2: Convert to fraction form
    433.40/598.02 = 256.36/x
  3. Step 3: Cross multiply
    433.40x = 598.02 × 256.36
  4. Step 4: Simplify right side
    433.40x = 153,307.13
  5. Step 5: Solve for x
    x = 153,307.13/433.40
  6. Step 6: Final answer
    x = 353.74

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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.